2245120 has 40 divisors (see below), whose sum is σ = 5389164. Its totient is φ = 897024.

The previous prime is 2245063. The next prime is 2245121. The reversal of 2245120 is 215422.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 30976 = 1488^2 + 176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2245094 and 2245103.

It is not an unprimeable number, because it can be changed into a prime (2245121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2122 + ... + 2998.

2^2245120 is an apocalyptic number.

2245120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694582).

2245120 is an abundant number, since it is smaller than the sum of its proper divisors (3144044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2245120 is an frugal number, since it uses more digits than its factorization.

2245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2245120 is about 1498.3724503607. The cubic root of 2245120 is about 130.9422661898.

The spelling of 2245120 in words is "two million, two hundred forty-five thousand, one hundred twenty".